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PPSC Basic Mathematics Past Papers  MCQs 2021

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1. The angle of elevation of a ladder leaning against a wall is 60°, and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is?





2. The ratio of ages of two students is 3 : 2. One is older than the other by 5 years. What is the age of the younger student?





3. The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is?





4. 1.14 expressed as a percent of 1.9 is?





5. If x and y are positive real numbers and x^(1/3) = y^(1/4), which relation is true?





6. The value of 3.5 × 1.4 / 0.7 is?





7. The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is:





8. Two numbers are respectively 20% and 50% more than a third number. The percentage of the first to the second is?





9. A man walked for 1/3 hour and then got an automobile ride for 1/2 hour. What part of the total time did he ride on the automobile?





10. Express the recurring decimal 0.125125… as a rational number.





11. Evaluate (1 + 1/x)(1 + 1/(x+1))(1 + 1/(x+2))(1 + 1/(x+3)).





12. If a/3 = b/2, then the value of (2a + 3b)/(3a − 2b) is?





13. In the set S = {0, 2, 4, 5, 9}, which number, if removed, keeps the average the same?





14. The average age of 3 friends is 23. Even if the age of the 4th friend is added, the average remains 23. What is the age of the 4th friend?





15. The mean proportional between 2 and 8 is?





16. 0.005 × 0.2 = ?





17. Two sections A and B of a class have 36 and 44 students. Their average weights are 40 kg and 35 kg respectively. Find the average weight of the whole class.





18. If 3^(x+3) + 7 = 250, then x equals?





19. A two-digit number is three times the sum of its digits. If 45 is added to it, the digits are reversed. The number is?





20. There are twice as many boys as girls. If 30% of the boys and 45% of the girls failed, what percentage of the class passed?





21. Rs. 1200 is lent at 5% p.a. simple interest for 3 years. The amount after 3 years is:





22. A school has four classes with 10, 20, 30, 40 students. Their pass percentages are 20%, 30%, 60%, 100%. Find the overall pass percentage.





23. A class had 14 boys with an average height of 5.3 ft. A new boy joined; the average of 15 boys became 5.25 ft. How tall was the new boy?





24. The area of a circle is 98.56 cm². Its circumference is?





25. Find X if 3889 + 12.952 − X = 3854.002.





26. If 0.009/x = 0.01, find x.





27. What is the average of 0, 0, 4, 10, 5, 5?





28. Two numbers are respectively 60% and 20% more than a third number. The second is what percent of the first?





29. Two numbers are in the ratio 3:5. If 9 is subtracted from each, the ratio becomes 12:23. The smaller number is?





30. 15 cattle can graze a field in 20 days. 20 cattle can graze 3 such fields in how many days?





31. If (2/3)A = 75% of B = 0.6 of C, then A : B : C is?





32. Three-fourths of a number is 60 more than one-third of it. The number is:





33. If X% of (25/2) is 150, then X is:





34. A sum of Rs.12,500 amounts to Rs.15,500 in 4 years at simple interest. The rate is:





35. A student obtained 75%, 80% and 85% in three subjects. If marks of another subject are added, the average cannot be less than:





36. If a number is multiplied by two-thirds of itself, the result is 864. The number is:





37. In how many ways can a President, Vice President, and Water-boy be selected from 10 people?





38. If x : y = 5 : 2, then (8x + 9y) : (8x + 2y) equals:





39. Given 10^0.48 = x, 10^0.70 = y and x^z = y^2, the value of z is closest to:





40. 4.036 divided by 0.04 equals?





41. A:B = 2:3, B:C = 3:4, A:D = 4:5. Find C:D.





42. The angle of depression to a point 70 m from the base of a tower is 60°. The tower’s height is:





43. If A : B = 2 : 3 and B : C = 4 : 5, then A : B : C =





44. The cost of a car is 400% greater than a bike. If car and bike prices increase by 15% and 20% respectively, the total increase on 5 cars and 10 bikes is:





45. The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is:





46. One-third of one-fourth of a number is 15. Three-tenths of that number is:





47. The salaries of A, B and C are in the ratio 1:3:4. If increased by 5%, 10% and 15% respectively, the new ratio is:





48. 1/log₃6₀ + 1/log₄6₀ + 1/log₅6₀ equals:





49. A washerman irons 4 shirts in 12 minutes. How many in one hour?





50. Working 5 h/day, A completes a work in 8 days; working 6 h/day, B completes it in 10 days. Working 8 h/day together, they complete it in:





51. A & B in 12 days, B & C in 15 days, C & A in 20 days. Together A, B, C finish in:





52. Hassan borrowed 5000 at simple interest for 5 years. He paid an extra 500. The annual rate was:





53. Ali’s shell collection is 80% more than Aslam’s. If Aslam has 80 more shells, total shells will be ____?





54. If 10 persons can do a job in 20 days, then 20 persons with twice the efficiency can do it in:





55. A person bought an item for Rs.2500 and sold it at 15% discount (on cost). The selling price is:





56. If 4^(4x+1) = 1/64, then x is:





57. Three times the first of three consecutive odd integers is 3 more than twice the third. The third is:





58. If m : n = 3 : 2, then (4m + 5n) : (4m − 5n) equals:





59. If a 162 km road takes 9 months to construct, how many months are needed for a 306 km road at the same rate?





60. If person A completes a work in 12 days and person B in 6 days, together they complete it in:





61. If the area of a circle is 38.5 m², then its circumference is:





62. A sum of 95,000 is to be divided among A, B and C with A:B = 2:3 and B:C = 2:3. The share of A is:





63. A village has 5860 voters; 7% forget to vote. To win, a candidate needs at least 50% of remaining votes. How many votes are needed?





64. If 42 women can do a work in 18 days, how many women will do the same work in 21 days?





65. If A = (√5 + 1) + (√5 − 1) and B = (√5 − 1) + (√5 + 1), then A + B equals:





66. If 2994 ÷ 14.5 = 172, then 29.94 ÷ 1.45 =





67. A chemical solution contains 8% acid. If there is 15 ml acid, what is the volume of the solution?





68. 21 binders can bind 1400 books in 15 days. How many binders are required to bind 800 books in 20 days?





69. If P * Q = P + Q + P/Q, then 8 * 2 equals:





70. A ladder makes a 60° angle with the ground against a wall. If the foot is 2 m from the wall, the length is:





71. [(2.39)² − (1.61)²] / (2.39 − 1.61) equals:





72. 0.232323… is equal to:





73. An army camp of 200 men has food for 60 days. How long will it last if men are reduced to 160?





74. 12 men and 15 women can reap a field in 14 days. How many days will 7 men and 5 women take?





75. If the interest on Rs. 800 in 2 years exceeds the interest on Rs. 400 by Rs. 40 in 2 years, the simple interest rate is:





76. If log10(2) = 0.3010 and log10(3) = 0.4771, then log₅(512) is:





77. A school cafeteria needs C cans per week per student; there are S students. For how many weeks will X cans last?





78. If x = 3 + √8, find x² + 1/x².





79. The price of a pen is 75. After a 15% discount, the price is:





80. If 1 < x < 2, then √(x − 1)² + √(3 − x)² equals:





81. What is the angle between the minute and hour hands of a clock at 8:30?





82. The average of a player in 10 innings was 32. How many runs in next innings to raise average by 4?





83. If 60 women spin 48 kg of cotton by working 8 hours daily, how much will 30 women spin by working 12 hours daily?





84. A sum of money doubles in 3 years at compound interest (annual). It will become 4 times in:





85. The average of 50 numbers is 30. If two numbers 35 and 40 are discarded, the new average is nearly:





86. The first and foremost function of management is:





87. _______ refers to the risk inherent to the entire market or market segment.





88. The value of 3.4 × 1/4 ÷ 0.7 = ?





89. The product of two numbers is 72. Find the other number when one is 9.





90. Sum of 2 numbers is 40 and their difference is 4. The ratio of the numbers is





91. A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness is 1 cm and iron weighs 8 g/cm³, then the weight of the pipe is:





92. The sum of five consecutive even numbers of set X is 440. Find the sum of a different set of five consecutive integers whose second least number is 121 less than double the least number of set X.





93. 220% of a number X is 44. What is 44% of X?





94. In a 60-litre mixture, milk:water = 2:1. To make it 1:2, how much water must be added?





95. 15 men were hired to plough a land in 10 days. How many more men are required to do it in 3 days?





96. A farmer bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?





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